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Finding the Third Proportional to 410,613 and 877,972.50

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Solution

The third proportional to 410,613 and 877,972.50 is: 1,877,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,613 : 877,972.50 = 877,972.50 : x
  2. Step 2: Convert to fraction form
    410,613/877,972.50 = 877,972.50/x
  3. Step 3: Cross multiply
    410,613x = 877,972.50 × 877,972.50
  4. Step 4: Simplify right side
    410,613x = 770,835,710,756.25
  5. Step 5: Solve for x
    x = 770,835,710,756.25/410,613
  6. Step 6: Final answer
    x = 1,877,280.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.